   Chapter 4.5, Problem 3E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Differentiating Logarithmic Functions In Exercises 1-22, find the derivative of the function. See Examples 1, 2, 3, and 4. y = ln ( x 2 + 3 )

To determine

To calculate: The derivative of the function y=ln(x2+3).

Explanation

Given information:

The provided function is y=ln(x2+3).

Formula used:

The chain rule of derivative for natural logarithm

ddxlnu=1ududx.

Where, u is the function of x.

The power rule of derivative,

ddxxn=nxn1

Calculation:

Consider the function, y=ln(x2+3)

Let;u=x2+3,

Now differentiate the function with respect to x.

dudx=ddx(x2+3)=2x+0=2x

Substitute, u for x2+3 in function,

y=ln

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